Finding the Third Proportional to 1,461,510,864 and 2,111,630,742

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461,510,864 : 2,111,630,742 = 2,111,630,742 : x
2. Step 2: Convert to fraction form
   1,461,510,864/2,111,630,742 = 2,111,630,742/x
3. Step 3: Cross multiply
   1,461,510,864x = 2,111,630,742 × 2,111,630,742
4. Step 4: Simplify right side
   1,461,510,864x = 4,458,984,390,559,470,592
5. Step 5: Solve for x
   x = 4,458,984,390,559,470,592/1,461,510,864
6. Step 6: Final answer
   x = 3,050,941,666.18